4 papers
Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets
Benjamin Grimmer, Ning Liu
We consider the oracle complexity of constrained convex optimization given access to a Linear Minimization Oracle (LMO) for the constraint set and a gradient oracle for the -smo…
Optical tweezers with optical vortex based on deep learning
Zhe Shen, Ning Liu
Optical tweezers (OTs) with structured light expand degrees of freedom of particle manipulation. However, the studies of structured optical tweezers are usually accompanied by comp…
A refined uniqueness result of Leray's problem in an infinite-long pipe with the Navier-slip boundary
Zijin Li, Ning Liu, Taoran Zhou
We consider the generalized Leray's problem with the Navier-slip boundary condition in an infinite pipe . We show that if the flux of the solutio…
On extremals for Fourier extension estimate to fractional surface
Boning Di, Ning Liu, Dunyan Yan
This article investigates the Fourier extension operator associated with the fractional surface for . We show that the relevant Fourier extension…